Rigorous Approximations for Many-Body Quantum Systems

Project Information

RAMBAS

Grant agreement ID: 101044249

DOI

10.3030/101044249

EC signature date 6 April 2022

Start date 1 October 2022

End date 30 September 2027

Funded under

• European Research Council (ERC)

Total cost

€ 1 963 290,00

EU contribution

€ 1 963 290,00

Coordinated by

LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

Publications

Other (15)

Derivation of Hartree theory for two-dimensional trapped Bose gases in almost Gross-Pitaevskii regime

Author(s): Lukas Junge, François Louis Antoine Visconti
Published in: 2024
Publisher: ArXiv preprint
DOI: 10.48550/arXiv.2410.23150

Concentration of eigenfunctions on singular Riemannian manifolds

Author(s): Charlotte Dietze, Larry Read
Published in: 2024
Publisher: ArXiv preprint
DOI: 10.48550/arXiv.2410.20563

Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters

Author(s): Charlotte Dietze, Konstantin Pankrashkin
Published in: 2024
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2412.04061

The Correlation Energy of the Electron Gas in the Mean-Field Regime

Author(s): Martin Ravn Christiansen, Christian Hainzl, Phan Thành Nam
Published in: 2024
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2405.01386

Ground state energy of the low density Bose gas with two-body and three-body interactions

Author(s): François L. A. Visconti
Published in: 2024
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2402.05646

The free energy of dilute Bose gases at low temperatures

Author(s): Haberberger, Florian; Hainzl, Christian; Nam, Phan Thành; Seiringer, Robert; Triay, Arnaud
Published in: 2023
Publisher: ArXiv preprint
DOI: 10.48550/arXiv.2304.02405

Derivation of Vlasov Equations for Multi-Species Fermions

Author(s): Hongshuo Chen, Li Chen, Jinyeop Lee, Zhiwei Sun
Published in: 2024
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2312.01075

Generating function for quantum depletion of Bose-Einstein condensates

Author(s): Simone Rademacher
Published in: 2024
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2410.13576

Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction

Author(s): Adami, Riccardo; Lee, Jinyeop
Published in: 2023
Publisher: ArXiv preprint
DOI: 10.48550/arXiv.2308.09674

Positive-density ground states of the Gross-Pitaevskii equation

Author(s): Mathieu Lewin, Phan Thành Nam
Published in: 2023
Publisher: ArXiv preprint
DOI: 10.48550/arXiv.2310.03495

Ground state energy of a dilute Bose gas with three-body hard-core interactions

Author(s): Lukas Junge, François Louis Antoine Visconti
Published in: 2024
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2406.09019

The Huang-Yang formula for the low-density Fermi gas: upper bound

Author(s): Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, and Robert Seiringer
Published in: 2024
Publisher: ArXiv preprint

Minimizing sequences of Sobolev inequalities revisited

Author(s): Charlotte Dietze, Phan Thành Nam
Published in: 2024
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2412.08616

Weyl formulae for some singular metrics with application to acoustic modes in gas giants

Author(s): Yves Colin de Verdìère, Charlotte Dietze, Maarten V. de Hoop, Emmanuel Trélat
Published in: 2024
Publisher: ArXiv preprint
DOI: 10.48550/arXiv.2406.19734

Exponential bounds of the condensation for dilute Bose gases

Author(s): Phan Thành Nam, Simone Rademacher
Published in: 2023
Publisher: ArXiv Preprint
DOI: 10.48550/arXiv.2307.10622

Peer reviewed articles (1)

SIAM Journal on Mathematical Analysis

Author(s): Christian Brennecke, Jinyeop Lee, Phan Thành Nam
Published in: SIAM Journal on Mathematical Analysis, 2024, ISSN 0036-1410
Publisher: SIAM
DOI: 10.1137/23M1608215